225270499680 has 240 divisors, whose sum is σ = 795581774064. Its totient is φ = 60029475840.

The previous prime is 225270499667. The next prime is 225270499693. The reversal of 225270499680 is 86994072522.

225270499680 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 70 + 499 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (225270499667) and next prime (225270499693).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21002799 + ... + 21013521.

Almost surely, 2^225270499680 is an apocalyptic number.

225270499680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225270499680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397790887032).

225270499680 is an abundant number, since it is smaller than the sum of its proper divisors (570311274384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225270499680 is a wasteful number, since it uses less digits than its factorization.

225270499680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12371 (or 12354 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 225270499680 in words is "two hundred twenty-five billion, two hundred seventy million, four hundred ninety-nine thousand, six hundred eighty".